A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.

Answers

Answer 1

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^


Related Questions

How do you refer 2ml of blue and 6ml of green in batches

Answers

Answer:

8ml

Step-by-step explanation:

Could someone explain to me how to solve any one of these problems so that I could solve the rest of them on my own? I already know the asymptote and the y-intercept, but I'm unsure of how to find the maximum/minimum.

Answers

Answer:

what in the world is this

Answer: Maybe asymptote means the lowest number and y-intercept means the second lowest and minimum means medium and maximum means the highest  number.

I'm sorry if this doesn't help but i'm still in 3rd grade.

Scores on a statistics final in a large class were normally distributed with a mean of 79 and a standard deviation of 12. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 36th percentile of the scores. (b) Find the 70th percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score needed to get an A

Answers

Answer:

a) The 36th percentile of the scores is of 74.68.

b) The 70th percentile of scores is 85.3.

c) The minimum score needed to get an A is 93.1.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 79 and a standard deviation of 12.

This means that [tex]\mu = 79, \sigma = 12[/tex]

(a) Find the 36th percentile of the scores.

This is X when Z has a pvalue of 0.36. So X when Z = -0.36.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.36 = \frac{X - 79}{12}[/tex]

[tex]X - 79 = -0.36*12[/tex]

[tex]X = 74.68[/tex]

The 36th percentile of the scores is of 74.68.

(b) Find the 70th percentile of the scores.

This is X when Z has a pvalue of 0.7, so X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 79}{12}[/tex]

[tex]X - 79 = 0.525*12[/tex]

[tex]X = 85.3[/tex]

The 70th percentile of scores is 85.3.

(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score needed to get an A?

The 100 - 12 = 88th percentile, which is X when Z has a pvalue of 0.88, so X when Z = 1.175.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.175 = \frac{X - 79}{12}[/tex]

[tex]X - 79 = 1.175*12[/tex]

[tex]X = 93.1[/tex]

The minimum score needed to get an A is 93.1.

Solve for x to the nearest degree.

Answers

Answer: 22 degrees

Step-by-step explanation:

[tex]sin^{-1}[/tex]([tex]\frac{7}{19}[/tex])=  21.62 nearest degree= 22

A statement is shown. ​"The square root of x is a number that is non-terminating and non-repeating." ​Select all of the values of x that make the statement true.
a: x=1
b: x=8
c:x=25
d: x=81
e: x=125

Answers

Answer:

its B and E

Step-by-step explanation:

help! help! please help ​

Answers

Answer:

to answer this i am gonna need the rise and run or the y2 -x2/ y1-x1 and then i well come back and edit this to the right answer

Step-by-step explanation:

TIMED PLS HELP ME IM BEGGING

Answers

Answer:

4 cm

Step-by-step explanation:

Cylinder Volume formula:

V = πr²h

Given:

V = 240π

h = 15

Finding r:

V = πr²h

240π = πr²(15)

r² = 240π/15π

r² = 16

[tex]\sqrt{r^2} =\sqrt{16}[/tex]

r = 4

Answer:

4 cm

Step-by-step explanation:

TTr^2h = 240TTcm^3(the TT cancel out)r^2 x 15 = 240cm^3(divide both sides by 15)r^2 = 16(square root both sides)r = 4cm

Discuss the various factors which lead to the formation of droughts​

Answers

Step-by-step explanation:

Below average rainfall in a region for several months

Not enough rain to be absorbed into the ground before evaporating

Cutting down trees and overuse of land

Hot dry air masses blown into a region by westerly winds

Human activities that deplete the water table faster than it can be replaced

Please help I need this due in 3 minutes!

Answers

Answer: you just add 700 and 750 which will give us 1,450

Step-by-step explanation:

What is the median for the data set below? 2 10 6.5 8.8 3 6 4.0 12.5​

Answers

Answer:

Hi! The answer to your question is 6.25

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

solve for x:
(1/x) + (1/2x) = 18

Answers

Answer:

/sorry/

Step-by-step explanation:

How to solve your problem

(1)+(12⋅)=18

\frac{x}{(\frac{1}{x})}+(\frac{1}{2} \cdot x)=18

(x1​)x​+(21​⋅x)=18

Solve

1

Combine multiplied terms into a single fraction

(1)+(12)=18

\frac{x}{(\frac{1}{x})}+(\frac{1}{2}x)=18

(x1​)x​+(21​x)=18

(1)+(12)=18

\frac{x}{(\frac{1}{x})}+(\frac{1x}{2})=18

(x1​)x​+(21x​)=18

2

Multiply by 1

3

Eliminate redundant parentheses

Solution

(1)+2=18

what is the probability if you randomly select comedy book replace it and another comedy book?
(if your going to answer pls explain )

Answers

Oh pls help me

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 3 7 40


Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work. (10 points)

f(x) = 3x – 5
g(x) = –6x2 + 6x + 2
Find: f(x) · g(x)

Answers

Answer:

f(x) = 3x - 5

g(x) = 6x^2 + 2x

Find: g(f(x))

method: for each x in g, substitute (3x-5)

g[f(x)]=6(3x-5)^2+2(3x-5)

=6(9x^2-30x+25)+6x-10

=54x^2-180x+150+6x-10

Step-by-step explanation:

Help fast i will make you the brainly thing if you get it right Which situation can be represented by the expression 3+(-7).
Choose 1 answer:
A Afootball team lost 3 yards on one play. The team gained 7 yards on the next play.
B
A football team gained 3 yards on one play. The team lost 7 yards on the next play.
A football team gained 3 yards on one play. The team gained 7 yards on the next play.

Answers

Answer:

I think it's B

Step-by-step explanation:

3 + (-7)

= 3 - 7

it's 3 - 7 because the positive and negative cancel each other out. A good example to think of intergers is with money, ex: If I borrow $7 from you and the next day I pay back $3, how much money do I still owe you?

(I'm not 100% sure)

In the image below the area of the shaded sector is

Answers

Answer:

area = 471 ft²

Step-by-step explanation:

area of full circle = π30² = 2826 ft²

(60°/360°)(2826) = 471 ft²

Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?

Answers

Answer:

Zane needs 240 strings for 5 harps.

Step-by-step explanation:

All you have to do is multiply

48 * 5 = 240

So, the answer is 240

Hope this helps! :)

Which statement best explains whether △ABC is similar to △DEF?
A) The triangles are not similar because 613≠820.
B) The triangles are similar because 613=820.
C) The triangles are similar because 820=1025.
D) There is not enough information to determine whether the triangles are similar.

Answers

A). They are not similar, because 6/13 is not equal to 8/20

For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.

The statement best explains whether △ABC is similar to △DEF is (A) The triangles are not similar because 613≠820.

What are similar triangles?

Similar triangles are triangles that have similar corresponding side lengths

The corresponding sides of the triangles are:

Triangle A        Triangle B

6                              13

8                              20

10                             25

Calculate the ratios

Ratio = 6/13

Ratio = 8/20

The ratios are not equal.

Hence, the triangles are not similar

Read more about similar triangles at:

https://brainly.com/question/14285697

one of your friends is heading north for a holiday and the oter friend is heading south. if their destinies are 1029 miles apart and one car is traveling at 45 miles per hour and the other at 58 mile sper hour how many hours before the 2 cars pass eacother

Answers

Answer: 1029 + 45 + 58 + 2 = 1134

Step-by-step explanation: If you read the problem it has a key word how many so all you have to do is add.

What is the surface area of this rectangular prism i-ready

Answers

Answer:

290 in²

Step-by-step explanation:

Using the net of the box given, we can see that there are 4 equal rectangles and 2 equal squares that make up the prism.

Area of the 4 rectangles = 4(60) = 240 in²

Area of the 2 squares = 2(25) = 50 in²

Therefore,

Surface Area of the prism = 240 + 50 = 290 in²

Answer:

The surface area of this prism is 290(in)²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (widht) \times (height)[/tex]

Substitute the values of the length l=5, the width w=5, and the height h=12 into the formula.

[tex]2 \times 5 \times 5 + 2 \times 5 \times 12 + 2 \times 5 \times 12[/tex]

Simplify each term.

[tex]50 + 120 + 120[/tex]

Simplify by adding numbers.

[tex]290(in)^{2} [/tex]

Hence, The surface area of this rectangular prism is 290in².

solve -5 √x =-15
A. X= -9
B. X= -7
C. X= 9
D. X= 7

Answers

Divide both sides by -5
You would then get (square root)x=3 since the negatives would cancel out
Then you square both sides
You will be left with (x)*2=(3)*2
Your answer will be C. X=9
Hope that helped!
x = 9

The answer is C

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral

Answers

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

A parent believes the average height for 13-year-old girls differs from that of 13-year-old boys. The difference in the height between girls and boys using a 95% confidence interval is estimated to be 0.26 to 0.41 inches. Based on the results, is there a significant difference between the true mean height of 13-year-old girls and boys

Answers

Answer:

There is 0.15 difference so yes

Step-by-step explanation:

3) Determine the greatest common factor between
Xy2 and x6y2

Answers

Answer:

it would be GCF= xy^2

Step-by-step explanation:

because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2

Helppppp !!! Quick I’ll mark u brainlist

Answers

Answer:

it is b approximately 163 yards

can someone please help me i’ll give you brainliest

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

C. 1/9

Step-by-step explanation:

A dice is rolled 50 times.
The score of each throw is recorded in the table below.
Score
1
2
3
4
5
6
Frequency
12
9
5
13
3
8
12
a) The relative frequency of scoring a 1 was calculated as = 0.24
50
Work out the relative frequency, as a decimal, of throwing a 2.
I
[1]
b) How many times would you expect to roll a 5 when
this dice is thrown 3000 times?
[2]
c) How many times would you expect to roll a 5 when
a fair dice is thrown 3000 times?
+
[2]

Answers

The answer is 123456789 oh I mean I dont know

If you put two straight angles together, you get an angle that is 360°. You can think of this
angle as turning all the way around so that you are facing the same direction as when you
started the turn.
380

Answers

Answer:

what is your question?

Step-by-step explanation:

k is decreased by 20​

Answers

The answer is k-20

decreased means to take away/subtract, “k” is being subtracted by 20, therefore k-20


Hope this helps! have a wonderful day!

Help please what is this?

Answers

Ask your mom .............................

The ring Zp^3 has exactly____maximal ideals​

Answers

I’m not sure I’m looking for it
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